Just because they appear to man to be contradictory, doesn’t mean they are. After all, no one really knows what God is capable of, do they? You don’t really have to, or even think you can, understand everything He does do you?
Oh please!! C'mon, you are not going to go there are you? Jesus CLEARLY, UNEQUIVOCALLY states HE is I Am. Even answers in the affirmative when questioned. Jesus could not get more genuinely contradictory if he wanted too. Jesus claims to be God, and Muslims claim he is just a prophet, a teacher! Who do you think Jewish Rabbi's think Jesus is? Certainly NOT the Messiah. One thing God CAN NOT do is lie!
Of course we can not comprehend everything God does, but he does tell us "to search the scriptures" so we can understand what he intends for mankind to understand. He gives us free will for a purpose...